Search a number
-
+
63928427400 = 23325279449567
BaseRepresentation
bin111011100010011011…
…100110001110001000
320010000021121121001100
4323202123212032020
52021411134134100
645211320021400
74422130444545
oct734233461610
9203007547040
1063928427400
1125125a26782
1210481601860
13604a5ac346
1431464d5bcc
1519e258b400
hexee26e6388

63928427400 has 144 divisors (see below), whose sum is σ = 217411084800. Its totient is φ = 16831751040.

The previous prime is 63928427369. The next prime is 63928427413. The reversal of 63928427400 is 472482936.

63928427400 is a `hidden beast` number, since 63 + 92 + 84 + 27 + 400 = 666.

63928427400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82584 + ... + 366983.

It is an arithmetic number, because the mean of its divisors is an integer number (1509799200).

Almost surely, 263928427400 is an apocalyptic number.

63928427400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63928427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108705542400).

63928427400 is an abundant number, since it is smaller than the sum of its proper divisors (153482657400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63928427400 is a wasteful number, since it uses less digits than its factorization.

63928427400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449668 (or 449656 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 63928427400 in words is "sixty-three billion, nine hundred twenty-eight million, four hundred twenty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 79 90 100 120 150 158 180 200 225 237 300 316 360 395 450 474 600 632 711 790 900 948 1185 1422 1580 1800 1896 1975 2370 2844 3160 3555 3950 4740 5688 5925 7110 7900 9480 11850 14220 15800 17775 23700 28440 35550 47400 71100 142200 449567 899134 1348701 1798268 2247835 2697402 3596536 4046103 4495670 5394804 6743505 8092206 8991340 10789608 11239175 13487010 16184412 17982680 20230515 22478350 26974020 32368824 33717525 35515793 40461030 44956700 53948040 67435050 71031586 80922060 89913400 101152575 106547379 134870100 142063172 161844120 177578965 202305150 213094758 269740200 284126344 319642137 355157930 404610300 426189516 532736895 639284274 710315860 809220600 852379032 887894825 1065473790 1278568548 1420631720 1598210685 1775789650 2130947580 2557137096 2663684475 3196421370 3551579300 4261895160 5327368950 6392842740 7103158600 7991053425 10654737900 12785685480 15982106850 21309475800 31964213700 63928427400